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Finding the Fourth Proportional to 1,925.14, 2,887.94 and 692.45

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Solution

The fourth proportional to 1,925.14, 2,887.94 and 692.45 is: 1,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.14 : 2,887.94 = 692.45 : x
  2. Step 2: Convert to fraction form
    1,925.14/2,887.94 = 692.45/x
  3. Step 3: Cross multiply
    1,925.14x = 2,887.94 × 692.45
  4. Step 4: Simplify right side
    1,925.14x = 1,999,736.15
  5. Step 5: Solve for x
    x = 1,999,736.15/1,925.14
  6. Step 6: Final answer
    x = 1,038.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.